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Finding the Fourth Proportional to 53,333, 80,012.46 and 16,397

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Solution

The fourth proportional to 53,333, 80,012.46 and 16,397 is: 24,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,333 : 80,012.46 = 16,397 : x
  2. Step 2: Convert to fraction form
    53,333/80,012.46 = 16,397/x
  3. Step 3: Cross multiply
    53,333x = 80,012.46 × 16,397
  4. Step 4: Simplify right side
    53,333x = 1,311,964,306.62
  5. Step 5: Solve for x
    x = 1,311,964,306.62/53,333
  6. Step 6: Final answer
    x = 24,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.